On december 31, 2021, interlink communications issued 6% stated rate bonds with a face amount of $119 million. the bonds mature on december 31, 2051. interest is payable annually on each december 31, beginning in 2022. (fv of $1, pv of $1, fva of $1, pva of $1, fvad of $1 and pvad of $1) (use appropriate factor(s) from the tables provided.) determine the price of the bonds on december 31, 2021, assuming that the market rate of interest for similar bonds was 7%

Price of the bond is $104,236,860.

Explanation:

Given:

Coupon rate is 6% or 0.06

Face value = $119,000,000

Coupon payment each year = 0.06×119,000,000

                                            = $7,140,000

Yield to maturity = 7% or 0.007

Maturity period = 30 years

Price of bond = Present value of face value + present value of coupon payment (annuity)

Price of bond =

PV of $1 for 7%,30 periods = 0.1314

PVA of $1 for 7%,30 periods = 12.409

Substitute the values in above formula:

Price of bond = (119,000,000 × 0.1314) + (7,140,000 × 12.409)

                     = 15,636,600 + 88,600,260

                    = $104,236,860

There will be slight difference in final answer as present value table is used. Excel spreadsheet gives an accurate answer.

So, price of bond is $104,236,860

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